A Comparison Process For Mouse Pairs
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A Comparison Process For Mouse Pairs
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Author : John R. Steel
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-24
A Comparison Process For Mouse Pairs written by John R. Steel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-24 with Mathematics categories.
This book proves some important new theorems in the theory of canonical inner models for large cardinal hypotheses, a topic of central importance in modern set theory. In particular, the author 'completes' the theory of Fine Structure and Iteration Trees (FSIT) by proving a comparison theorem for mouse pairs parallel to the FSIT comparison theorem for pure extender mice, and then using the underlying comparison process to develop a fine structure theory for strategy mice. Great effort has been taken to make the book accessible to non-experts so that it may also serve as an introduction to the higher reaches of inner model theory. It contains a good deal of background material, some of it unpublished folklore, and includes many references to the literature to guide further reading. An introductory essay serves to place the new results in their broader context. This is a landmark work in inner model theory that should be in every set theorist's library.
Higher Recursion Theory And Set Theory
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Author : James Cummings
language : en
Publisher: World Scientific
Release Date : 2025-02-18
Higher Recursion Theory And Set Theory written by James Cummings and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-18 with Mathematics categories.
This volume celebrates the research contributions of Professors Theodore A Slaman and W Hugh Woodin, marking their distinguished careers in higher recursion theory and set theory as they approached the milestone of their 65th birthdays in 2019. It originates from the Institute for Mathematical Sciences program, Higher Recursion Theory and Set Theory, held at the National University of Singapore (May 20-June 14, 2019).The program explored cutting-edge developments in higher recursion theory, set theory, and their intricate interconnections. Topics discussed during the workshop included Martin's conjecture, higher randomness, the HOD conjecture, descriptive inner model theory, and the Ultimate-L program.This volume presents 15 peer-reviewed contributions by leading experts in the field, offering a comprehensive overview of recent advances in higher recursion theory and set theory, with a focus on their dynamic interactions.
The Philosophy Of Penelope Maddy
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Author : Sophia Arbeiter
language : en
Publisher: Springer Nature
Release Date : 2024-10-15
The Philosophy Of Penelope Maddy written by Sophia Arbeiter and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-15 with Mathematics categories.
This volume features more than 20 essays that explore the work of one of the most important contemporary philosophers of mathematics. It will help readers to better appreciate this significant and prolific philosopher. Within philosophy of mathematics, Penelope Maddy initially advocated realism. She then went on to advance naturalism. Both of her positions became very influential in the field, along with her other work in the philosophy of logic. The contributors comment on and otherwise engage with Maddy’s work. They also weigh in on the state of set theory and its philosophy, the philosophy and history of logic, naturalism, skepticism, and the myriad other areas to which Maddy left her mark. Overall, coverage traces her influence on these various ideas over the years. It will also help readers to better understand how philosophers working at the forefront of these areas see these concepts today. These essays will be essential reading for the wide group of philosophers working in these different areas as well as graduate students studying philosophy of mathematics and logic and the other related issues to which Maddy has contributed. The volume will also appeal to logicians and set theorists in general, as well as to philosophers working in analytic philosophy more widely, as well as to those working in the history of philosophy.
Extensions Of The Axiom Of Determinacy
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Author : Paul B. Larson
language : en
Publisher: American Mathematical Society
Release Date : 2023-10-19
Extensions Of The Axiom Of Determinacy written by Paul B. Larson and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-19 with Mathematics categories.
This is an expository account of work on strong forms of the Axiom of Determinacy (AD) by a group of set theorists in Southern California, in particular by W. Hugh Woodin. The first half of the book reviews necessary background material, including the Moschovakis Coding Lemma, the existence of strong partition cardinals, and the analysis of pointclasses in models of determinacy. The second half of the book introduces Woodin's axiom system $mathrm{AD}^{+}$ and presents his initial analysis of these axioms. These results include the consistency of $mathrm{AD}^{+}$ from the consistency of AD, and its local character and initial motivation. Proofs are given of fundamental results by Woodin, Martin, and Becker on the relationships among AD, $mathrm{AD}^{+}$, the Axiom of Real Determinacy, and the Suslin property. Many of these results are proved in print here for the first time. The book briefly discusses later work and fundamental questions which remain open. The study of models of $mathrm{AD}^{+}$ is an active area of contemporary research in set theory. The presentation is aimed at readers with a background in basic set theory, including forcing and ultrapowers. Some familiarity with classical results on regularity properties for sets of reals under AD is also expected.
Hod Mice And The Mouse Set Conjecture
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Author : Grigor Sargsyan
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-06-26
Hod Mice And The Mouse Set Conjecture written by Grigor Sargsyan and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-26 with Mathematics categories.
The author develops the theory of Hod mice below ADR+ "Θ is regular". He uses this theory to show that HOD of the minimal model of ADR+ "Θ is regular" satisfies GCH. Moreover, he shows that the Mouse Set Conjecture is true in the minimal model of ADR+ "Θ is regular".
Cognition And Categorization
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Author : Eleanor Rosch
language : en
Publisher: Taylor & Francis
Release Date : 2024-03-08
Cognition And Categorization written by Eleanor Rosch and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-08 with Psychology categories.
Originally published in 1978, the papers in this book derive from a 1976 meeting sponsored by the Social Science Research Council to discuss the nature and principles of category formation. It is organized in three sections: real-world categories, the cognitive processes underlying categorization, and the nature of representation. Part I examines different structural aspects of real-world categories: folk biological taxonomies, within and between category structures for material objects, and some categories in a language that codes the world in a visual–gestural mode. All three chapters in Part I assume category processors who are able to perform at least three cognitive functions: They can judge similarity between stimuli; they can perceive and process the attributes of a stimulus; and they can learn. Part II presents analyses of these three cognitive functions. All discussion of psychological structures and processes lead eventually to the issue of representation, and Part III examines representational assumptions underlying the earlier discussions. Today it can be read and enjoyed in its historical context.
Computational Systems Bioinformatics Volume 6 Proceedings Of The Conference Csb 2007
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Author : Peter Markstein
language : en
Publisher: World Scientific
Release Date : 2007-09-12
Computational Systems Bioinformatics Volume 6 Proceedings Of The Conference Csb 2007 written by Peter Markstein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-12 with Science categories.
This volume contains about 40 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications. Abstracts from the keynote addresses and invited talks are also included.The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field./a
Computational Systems Bioinformatics
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Author : Peter Markstein
language : en
Publisher: World Scientific
Release Date : 2007
Computational Systems Bioinformatics written by Peter Markstein and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Computers categories.
This volume contains about 40 papers covering many of the latest developments in the fast-growing field of bioinformatics. The contributions span a wide range of topics, including computational genomics and genetics, protein function and computational proteomics, the transcriptome, structural bioinformatics, microarray data analysis, motif identification, biological pathways and systems, and biomedical applications. Abstracts from the keynote addresses and invited talks are also included. The papers not only cover theoretical aspects of bioinformatics but also delve into the application of new methods, with input from computation, engineering and biology disciplines. This multidisciplinary approach to bioinformatics gives these proceedings a unique viewpoint of the field. Sample Chapter(s). Chapter 1: Whole-Genome Analysis of Dorsal Gradient Thresholds in the Drosophila Embryo (102 KB). Contents: Learning Predictive Models of Gene Regulation (C Leslie); Algorithms for Selecting Breakpoint Locations to Optimize Diversity in Protein Engineering by Site-Directed Protein Recombination (W Zheng et al.); Cancer Molecular Pattern Discovery by Subspace Consensus Kernel Classification (X Han); Transcriptional Profiling of Definitive Endoderm Derived from Human Embryonic Stem Cells (H Liu et al.); A Markov Model Based Analysis of Stochastic Biochemical Systems (P Ghosh et al.); Clustering of Main Orthologs for Multiple Genomes (Z Fu & T Jiang); Extraction, Quantification and Visualization of Protein Pockets (X Zhang & C Bajaj); Consensus Contact Prediction by Linear Programming (X Gao et al.); An Active Visual Search Interface for Medline (W Xuan et al.); Exact and Heuristic Algorithms for Weighted Cluster Editing (S Rahmann et al.); Reconcilation with Non-binary Species Trees (B Vernot et al.); and other papers. Readership: Research and application community in bioinformatics, systems biology, medicine, pharmacology and biotechnology. Graduate researchers in bioinformatics and computational biology.
Software Engineering Techniques
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Author : Zbigniev Huzar
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-07-12
Software Engineering Techniques written by Zbigniev Huzar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-07-12 with Computers categories.
This book constitutes the thoroughly refereed post-conference proceedings of the Second IFIP TC 2 Central and East-European Conference on Software Engineering Techniques, CEE-SET 2008, held in Brno, Czech Republic, in October 2008. The 20 revised full papers presented together with a keynote speech were carefully reviewed and selected from 69 initial submissions. The papers are organized in topical sections on requirements specification, design, modeling, software product lines, code generation, project management, and quality.
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Author : Taylor & Francis Group
language : en
Publisher: Garland Science
Release Date : 2010-12-31
written by Taylor & Francis Group and has been published by Garland Science this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-12-31 with categories.